Solve for L D/L=N

$\frac{D}{L} = N$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$L, 1$

The LCM of one and any expression is the expression.

$L$

Step 2

Multiply each term in $\frac{D}{L} = N$ by $L$ to eliminate the fractions.

Multiply each term in $\frac{D}{L} = N$ by $L$ .

$\frac{D}{L} L = N L$

Simplify the left side.

Cancel the common factor of $L$ .

Cancel the common factor.

$\frac{D}{L} L = N L$

Rewrite the expression.

$D = N L$

Step 3

Solve the equation.

Rewrite the equation as $N L = D$ .

$N L = D$

Divide each term in $N L = D$ by $N$ and simplify.

Divide each term in $N L = D$ by $N$ .

$\frac{N L}{N} = \frac{D}{N}$

Simplify the left side.

Cancel the common factor of $N$ .

Cancel the common factor.

$\frac{N L}{N} = \frac{D}{N}$

Divide $L$ by $1$ .

$L = \frac{D}{N}$